Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 552, 820, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 820, 125 is 1
GCD(552, 820, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 820, 125 is 1
GCD(552, 820, 125) = 1
Given Input numbers are 552, 820, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 552, 820, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 820, 125 is 1.
Therefore, GCD of numbers 552, 820, 125 is 1
Given Input Data is 552, 820, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 125 is 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(552, 820) = 113160
GCD(552, 820) = ( 552 x 820 ) / 113160
GCD(552, 820) = 452640 / 113160
GCD(552, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 125) = 500
GCD(4, 125) = ( 4 x 125 ) / 500
GCD(4, 125) = 500 / 500
GCD(4, 125) = 1
GCD of 552, 820, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 820, 125?
GCD of 552, 820, 125 is 1
2. Where do I get the detailed procedure to find GCD of 552, 820, 125?
You can find a detailed procedure to find GCD of 552, 820, 125 on our page.
3. How to find GCD of 552, 820, 125 on a calculator?
You can find the GCD of 552, 820, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.